Carleman estimate for a one-dimensional system of m coupled parabolic PDEs with BV diffusion coefficients
Author:
Publisher
Springer Science and Business Media LLC
Subject
Algebra and Number Theory,Analysis
Link
http://link.springer.com/content/pdf/10.1186/s13661-014-0195-2.pdf
Reference20 articles.
1. Ladyzhenskaya O, Solonnikov V, Uraltseva N: Linear and Quasilinear Equations of Parabolic Type. Am. Math. Soc., Providence; 1968.
2. Doubova A, Osses A, Puel J-P: Exact controllability to trajectories for semilinear heat equations with discontinuous diffusion coefficients. ESAIM Control Optim. Calc. Var. 2002, 8: 621-661. 10.1051/cocv:2002047
3. Benabdallah A, Gaitan P, Le Rousseau J: Stability of discontinuous diffusion coefficients and initial conditions in an inverse problem for the heat equation. SIAM J. Control Optim. 2007, 46(5):1849-1881. 10.1137/050640047
4. Bellassoued M, Yamamoto M: Inverse source problem for a transmission problem for a parabolic equation. J. Inverse Ill-Posed Probl. 2006, 14(1):47-56. 10.1515/156939406776237456
5. Benabdallah A, Dermenjian Y, Le Rousseau J: Carleman estimates for the one-dimensional heat equation with a discontinuous coefficient and applications to controllability and an inverse problem. J. Math. Anal. Appl. 2007, 336: 865-887. 10.1016/j.jmaa.2007.03.024
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